Finding the Third Proportional to 31,733.72 and 69,695.16

Step by Step Solution

1. Step 1: Write the proportion equation
   31,733.72 : 69,695.16 = 69,695.16 : x
2. Step 2: Convert to fraction form
   31,733.72/69,695.16 = 69,695.16/x
3. Step 3: Cross multiply
   31,733.72x = 69,695.16 × 69,695.16
4. Step 4: Simplify right side
   31,733.72x = 4,857,414,804.71
5. Step 5: Solve for x
   x = 4,857,414,804.71/31,733.72
6. Step 6: Final answer
   x = 153,067.94